Question

Points A and B lie on a circle with radius 1, and arc AB has a length of π/3. What fraction of the circumference of the circle is the length of arc AB?

Answer 1

Answer:

The circumference, C, of a circle is C=2πr, where r is the radius of the circle. For the given circle with a radius of 1, the circumference is C=2(π)(1), or C=2π.

To find what fraction of the circumference the length of  AB  is, divide the length of the arc by the circumference, which gives  

π/3  ÷ 2π. This division can be represented by  

π/3  *  1/2π =  1/6

The fraction  1/6 can also be rewritten as 0.166 or 0.167.

The final answer is  

1/6, 0.166, or 0.167.